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Finding the Fourth Proportional to 7,635.43, 11,432.61 and 4,847

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Solution

The fourth proportional to 7,635.43, 11,432.61 and 4,847 is: 7,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.43 : 11,432.61 = 4,847 : x
  2. Step 2: Convert to fraction form
    7,635.43/11,432.61 = 4,847/x
  3. Step 3: Cross multiply
    7,635.43x = 11,432.61 × 4,847
  4. Step 4: Simplify right side
    7,635.43x = 55,413,860.67
  5. Step 5: Solve for x
    x = 55,413,860.67/7,635.43
  6. Step 6: Final answer
    x = 7,257.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.